{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.metrics import mean_squared_error\n",
    "\n",
    "import xgboost as xgb"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {},
   "outputs": [],
   "source": [
    "def notEmpty(s):\n",
    "    return s != ''"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "V11    0.737029\n",
       "V31    0.762179\n",
       "V4     0.789213\n",
       "V26    0.791693\n",
       "V12    0.799401\n",
       "V8     0.801819\n",
       "V30    0.813485\n",
       "V32    0.814657\n",
       "V2     0.830350\n",
       "V25    0.838978\n",
       "V6     0.842823\n",
       "V13    0.851480\n",
       "V0     0.861242\n",
       "V28    0.864711\n",
       "V1     0.886450\n",
       "V18    0.909098\n",
       "V9     0.909758\n",
       "V7     0.912246\n",
       "V10    0.937552\n",
       "V3     0.941478\n",
       "V36    0.942476\n",
       "V23    0.957966\n",
       "V16    0.966542\n",
       "V35    0.971555\n",
       "V34    1.006593\n",
       "V33    1.014040\n",
       "V14    1.031413\n",
       "V37    1.034687\n",
       "V15    1.067189\n",
       "V24    1.067923\n",
       "V29    1.126145\n",
       "V19    1.229568\n",
       "dtype: float64"
      ]
     },
     "execution_count": 141,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "path = \"datas/zhengqi_train.txt\"\n",
    "# 由于数据文件格式不统一,所以读取的时候,\n",
    "# 先按照一行一个字段属性读取数据,然后再按照每行数据进行处理\n",
    "fd = pd.read_csv(path, sep='\\s+', header=0)\n",
    "x, y = np.split(fd, (38,), axis=1)\n",
    "# 查看数据信息\n",
    "df = pd.DataFrame(x)\n",
    "# df.info()\n",
    "# df.describe().T\n",
    "df = df.drop(['V5', 'V17', 'V22', 'V27', 'V21', 'V20'], axis=1)\n",
    "# df.sort_values(df.var())\n",
    "df.var().sort_values()\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "训练数据集样本数目:2310, 测试数据集样本数目:578\n"
     ]
    }
   ],
   "source": [
    "# 数据的分割,\n",
    "x_train, x_test, y_train, y_test = train_test_split(\n",
    "    x,y, \n",
    "    train_size=0.8, \n",
    "    random_state=14\n",
    ")\n",
    "print(\n",
    "    \"训练数据集样本数目:%d, 测试数据集样本数目:%d\" \n",
    "    % \n",
    "    (x_train.shape[0], x_test.shape[0])\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 144,
   "metadata": {},
   "outputs": [],
   "source": [
    "# XGBoost将数据转换为XGBoost可用的数据类型\n",
    "dtrain = xgb.DMatrix(x_train, label=y_train)\n",
    "dtest = xgb.DMatrix(x_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 145,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mean_squared_error = 0.133685\n"
     ]
    }
   ],
   "source": [
    "# XGBoost模型构建\n",
    "# 1. 参数构建\n",
    "params = {\n",
    "    'max_depth': 4, \n",
    "    'eta':0.852, \n",
    "    'silent':1, \n",
    "    'objective':'reg:linear'\n",
    "}\n",
    "num_round = 2\n",
    "# 2. 模型训练\n",
    "bst = xgb.train(params, dtrain, num_round)\n",
    "# 3. 模型保存\n",
    "bst.save_model('xgb.model')\n",
    "# XGBoost模型预测\n",
    "y_pred = bst.predict(dtest)\n",
    "print('mean_squared_error = %f' % mean_squared_error(y_pred, y_test))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mean_squared_error = 0.143232\n"
     ]
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mean_squared_error = 0.365290\n"
     ]
    }
   ],
   "source": [
    "# 4. 加载模型\n",
    "bst2 = xgb.Booster()\n",
    "bst2.load_model('xgb.model')\n",
    "# 5 使用加载模型预测\n",
    "y_pred2 = bst2.predict(dtest)\n",
    "print('mean_squared_error = %f' % mean_squared_error(y_pred2, y_test))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 画图\n",
    "# 7. 画图 \n",
    "plt.figure(figsize=(12, 6), facecolor='w')\n",
    "ln_x_test = range(len(x_test))\n",
    "\n",
    "plt.plot(ln_x_test, y_test, 'r-', lw=2, label=u'实际值')\n",
    "plt.plot(ln_x_test, y_pred, 'g-', lw=4, label=u'XGBoost模型')\n",
    "\n",
    "plt.xlabel(u'数据编码')\n",
    "plt.ylabel(u'租赁价格')\n",
    "\n",
    "plt.legend(loc='lower right')\n",
    "plt.grid(True)\n",
    "plt.title(u'波士顿房屋租赁数据预测')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from xgboost import plot_importance\n",
    "from matplotlib import pyplot\n",
    "\n",
    "# 找出最重要的特征\n",
    "plot_importance(bst, importance_type = 'cover')\n",
    "pyplot.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
